Rendering multiple model configurations
If the parameters that varies can be keyframed, you can do something like that :


add keys for your frame color on frames 1 to 5
add keys for your wood on frames 5, 10, 15 (5*n 3 times)
add keys for your size on frames 15, 30, 45, 60 ,90 (15*n 6 times)


In the Graph editor, make all your channels cyclic extrapolation, and all your keys constant interpolation.

Select a picture format as render output (not a video format), and render a 90 frames animation : you will get 90 different pictures.